Metamath Proof Explorer


Theorem simprl

Description: Simplification of a conjunction. (Contributed by NM, 21-Mar-2007)

Ref Expression
Assertion simprl ⊢ φ ∧ ψ ∧ χ → ψ

Proof

Step Hyp Ref Expression
1 id ⊢ ψ → ψ
2 1 ad2antrl ⊢ φ ∧ ψ ∧ χ → ψ